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		<h1 id="heading">Memory Snippets</h1>
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<h2 id="toc_0.1">Multiscale finite element method</h2>

<h3 id="toc_0.1.1">Main propurse</h3>
<p>
This methods discussed in this book attempt to <b>capture the multiscale 
structure of the solution via localized basis functions</b>. 
</p>

<p>
these basis functions contain essential multiscale information to provide a
faithful approximation of the solution.
</p>

<h3 id="toc_0.1.2">Two types of multiscale processes:</h3>
<ul>
<li>
The first type is the process which has scale separation.
</li>
<ul>
<li>
In this case, the small-scale information is captured via local multiscale basis functions computed based only on the information within local regions (coarse-scale grid blocks).
</li>
</ul>
<li>
The second type of multiscale processes do not have apparent scale separation.  
</li>
</ul>

<p>
MsFEMs consist of two major ingredients: multiscale basis functions and
a global numerical formulation that couples these multiscale basis functions.
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